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Finite element simulation of three‐dimensional free‐surface flow problems with dynamic contact lines
Author(s) -
Walkley M. A.,
Gaskell P. H.,
Jimack P. K.,
Kelmanson M. A.,
Summers J. L.
Publication year - 2004
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.839
Subject(s) - finite element method , free surface , mechanics , flow (mathematics) , surface (topology) , focus (optics) , boundary (topology) , boundary value problem , contact angle , geometry , work (physics) , transient (computer programming) , line (geometry) , mathematics , engineering , mathematical analysis , computer science , mechanical engineering , physics , structural engineering , optics , chemical engineering , operating system
An arbitrary Lagrangian–Eulerian (ALE) finite element method is described for the solution of three‐dimensional free‐surface flow problems. The focus of this work is on extending the algorithm to include a dynamic contact line model allowing the fluid free surface, in the steady case, to form a prespecified static contact angle with a solid boundary and, in the transient case, to move along the solid boundary. This widens the applicability of the algorithm to important industrial applications such as forced spreading of fluids and gravity‐driven flow on inclined surfaces. Copyright © 2004 John Wiley & Sons, Ltd.